102000311310101 has 2 divisors, whose sum is σ = 102000311310102. Its totient is φ = 102000311310100.

The previous prime is 102000311310043. The next prime is 102000311310113. The reversal of 102000311310101 is 101013113000201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53256804771076 + 48743506539025 = 7297726^2 + 6981655^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000311310101 - 2²² = 102000307115797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000311310301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000155655050 + 51000155655051.

It is an arithmetic number, because the mean of its divisors is an integer number (51000155655051).

Almost surely, 2^{102000311310101} is an apocalyptic number.

It is an amenable number.

102000311310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000311310101 is an equidigital number, since it uses as much as digits as its factorization.

102000311310101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 102000311310101 its reverse (101013113000201), we get a palindrome (203013424310302).

The spelling of 102000311310101 in words is "one hundred two trillion, three hundred eleven million, three hundred ten thousand, one hundred one".